Calculation of Structural Response and Response Sensitivity with Improved Substructuring Method
Publication: Journal of Aerospace Engineering
Volume 32, Issue 3
Abstract
Structural responses and response sensitivities are frequently required in structural health monitoring, whereas the computation of structural responses and response sensitivities of a large-size model is time consuming. This paper proposes a substructuring method for the fast computation of structural responses and response sensitivities. Structural responses are projected onto the range space of a few master substructural eigenvectors to construct a simplified vibration equation. The contribution of slave eigenvectors is compensated by a residue space to achieve high accuracy. Due to this compensation of the residue, a few master eigenvectors are needed to ensure the fast computation of structural responses and response sensitivities with high accuracy, avoiding the inclusion of numerous substructural eigenvectors. In addition, response sensitivities with respect to a parameter are calculated from master eigenvector derivatives of one substructure only, whereas derivatives of other substructures are zeroes. As simplified vibration equations are quite small, the proposed substructuring method can very quickly calculate structural responses and response sensitivities. The proposed method is verified by a frame structure and a bridge structure.
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Acknowledgments
The research presented here was supported by the National Natural Science Foundation of China (Projects 51778258, 51629801, and 51838006), Basic Research Program of China (Project 2016YFC0802002), Science Foundation for Distinguished Young Scholars of Hubei Province (Project 2018CFA088), and Fundamental Research Funds of HUST (Projects 2016JCTD113, 2014TS130, and 2015MS064).
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Published In
Journal of Aerospace Engineering
Volume 32 • Issue 3 • May 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jul 11, 2018
Accepted: Oct 5, 2018
Published online: Feb 21, 2019
Published in print: May 1, 2019
Discussion open until: Jul 21, 2019
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